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Jameela is learning about binary numbers. She leaves her mom an “encoded” shopping list that says she needs “101” notebooks and a bag of “1111” apples for her field trip. What does she really need?

(1 point)
Responses

four notebooks and 10 apples
four notebooks and 10 apples

five notebooks and 15 apples
five notebooks and 15 apples

101 notebooks and 1,111 apples
101 notebooks and 1,111 apples

25 notebooks and eight apples

11 answers

To decode Jameela's shopping list, we need to convert the binary numbers into decimal.

  1. Binary "101":

    • This converts to decimal as follows:
    • \( 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 4 + 0 + 1 = 5 \)
    • So, she needs 5 notebooks.

  2. Binary "1111":

    • This converts to decimal as follows:
    • \( 1 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 8 + 4 + 2 + 1 = 15 \)
    • So, she needs 15 apples.

Therefore, Jameela really needs five notebooks and 15 apples.

The correct response is: five notebooks and 15 apples.

Blake uses 110010 to represent the decimal number 50. This is an example of a _____.

(1 point)
Responses

binary number
binary number

bit
bit

float integer
float integer

Boolean value

Blake uses "110010" to represent the decimal number 50, which is an example of a binary number.

So, the correct response is: binary number.

Why not bit

The term "bit" refers to a single binary digit, which can either be 0 or 1. The representation "110010" consists of multiple bits (specifically, 6 bits in this case).

When referring to "110010" as a whole, it is more accurate to call it a binary number because it represents a complete numerical value in the binary numeral system.

In summary:

  • "Bit" refers to a single 0 or 1.
  • "Binary number" refers to a complete sequence of bits representing a numerical value.

Thus, while "110010" is made up of bits, it is more appropriately identified as a binary number.

How many individual bits does it take to write the letter J in binary?

The letter "J" can be represented in binary using the ASCII encoding system. In ASCII, the letter "J" has the decimal value 74.

To convert 74 to binary:

  1. Start dividing the number by 2 and noting the remainders.
  2. 74 divided by 2 equals 37 with a remainder of 0.
  3. 37 divided by 2 equals 18 with a remainder of 1.
  4. 18 divided by 2 equals 9 with a remainder of 0.
  5. 9 divided by 2 equals 4 with a remainder of 1.
  6. 4 divided by 2 equals 2 with a remainder of 0.
  7. 2 divided by 2 equals 1 with a remainder of 0.
  8. 1 divided by 2 equals 0 with a remainder of 1.

Reading the remainders from bottom to top, 74 in binary is represented as 1001010.

This binary representation consists of 7 bits.

So, it takes 7 individual bits to write the letter "J" in binary.

The number 35,674 is an example of a _____ integer.
long
long

float
float

short
short

Boolean

The number 35,674 is an example of a long integer.

Here's a brief explanation of the terms in the given options:

  • Long: Typically used to refer to an integer type that can hold larger values than a standard integer. It generally is chosen for integer values that exceed the range of a typical 32-bit integer.
  • Float: Refers to a floating-point number, which includes decimal values (e.g., 35,674.5).
  • Short: Refers to a smaller integer type, which usually has a limited range compared to a standard or long integer.
  • Boolean: Refers to a value that can be either true or false.

Since 35,674 is a whole number, it fits best as a long integer.

So, the correct response is: long.

What do you call code that has been converted from binary into letters and symbols that computers can “read”?

Code that has been converted from binary into letters and symbols that computers can "read" is typically referred to as source code or human-readable code. This can also include formats like plaintext, which represent data in a way that is more understandable to programmers and users.

In a broader sense, you might also encounter the term compiled code, which refers to code that has been translated from a high-level programming language (like C++ or Java) into machine code that a computer's processor can execute, but this is a step beyond just converting binary into letters and symbols.

So, the best general term to describe code converted from binary is source code or simply code that is human-readable.