Question

Show how the following integers can be represented as 8-bit (unsigned) binary integers:

a) 37
b) 89
c) 4
d) 126
e) 298

Answer 1

The integers 37, 89, 4, and 126 can be represented as 8-bit unsigned binary integers as 00100101, 01011001, 00000100, and 01111110 respectively.

However, 298 cannot be represented as an 8-bit unsigned binary integer as it exceeds the maximum value of 255.

Step-by-step explanation:

The question involves representing integers as 8-bit unsigned binary integers. Unsigned binary integers are expressed in base 2 and utilize only 1s and 0s. Below we will convert the provided decimal numbers into their corresponding binary format, utilizing 8 bits for each:

• 37 in binary is 00100101.
• 89 in binary is 01011001.
• 4 in binary is 00000100.
• 126 in binary is 01111110.
• Since 298 exceeds the range of an 8-bit unsigned integer (which is 0 to 255), it cannot be represented in this format.

Note: The largest number that can be represented by an 8-bit unsigned binary integer is 255. The binary number 11111111 corresponds to the decimal number 255.