Question

What are the 4-bit patterns used to represent each of the characters in the string "1301"? Only represent the characters between the quotation marks.) Note: There is space between 1301. Practical (show work 1. What are the sign and magnitude for the following numbers? A. -27 B. 140 C. -99 D. 46

Answer 1

Explanation:

The string "1301" can be converted into numbers by using the ASCII characters set.

1. Decimal ASCII

1=49, 3=51, 0=48, 1=49

Without space

"1301" = 49 51 48 49

with space included

"1 3 0 1" = 49 32 51 32 48 32 49

(white space is represented by 32 in Decimal ASCII)

2. Hexadecimal ASCII

1=31, 3=33, 0=30, 1=31

Without space

"1301" = 31 33 30 31

with space included

"1 3 0 1"= 31 20 33 20 30 20 31

(white space is represented by 20 in hexadecimal ASCII)

The magnitude can be found by traditional decimal to binary conversion (Divide by 2 until we are left with remainder 0 or 1) and sign can be represented by adding most significant bit (MSB) 0 for positive and 1 for negative.

A. -27

Magnitude: 00011011

Since the sign is negative add 1 to the MSB

which becomes 100011011

B. 140

Magnitude: 10001100

Since the sign is positive add 0 to the MSB

which becomes 010001100

C. -99

Magnitude: 01100011

Since the sign is negative add 1 to the MSB

which becomes 101100011

D. 46

Magnitude: 00101110

Since the sign is positive add 0 to the MSB

which becomes 000101110