Chapter 2, Problem 55E

a.

Explanation of Solution

Maximum unsigned decimal value with 3 quad digits

• The quad number is represented with 3 digits that is 0,1,2 or 3.
• Hence the maximum unsigned decimal value is...

b.

Explanation of Solution

Maximum unsigned decimal value with n quad digits

• The quad number is represented with n digits and hence the maximum unsigned decimal value is calculated by 4ⁿ – 1...

c.

Explanation of Solution

Adding two unsigned quad numbers

• The quad numbers are unsigned base-4 numbers that contains four symbols 0,1,2 or 3.
• Hence the quad numbers equivalent for each of the binary number is

Decimal	Quad
0	0
1	1
2	2
3	3
4	10
5	11
6	12
7	13

d.

Explanation of Solution

Decimal to quad representation

• For converting decimal to quad representation, the given decimal number is divided with the base number and the result is written from down to top...

e.

Explanation of Solution

Converting quad to binary

• For converting a number into binary then first it must be converted to decimal and then converted to binary.
• As an example, when the quad number 123.3 is converted to decimal, it provides the result as 27...

f.

Explanation of Solution

Floating point representation of quad number

• The floating point number is a 32-bit number.
• It allocates the bits as 1 bit for sign, 8 bits for exponent and 23 bits for mantissa.
• As an example, for converting a quad number 123.3 into floating point format, first the given quad number is converted into binary format.
• Hence the binary format of 123.3 is 11011.11...

g.

Explanation of Solution

Maximum number of unique functions

• Given the number of inputs taken by the black box is “m” digits.
• The number of output taken by the black box is 1 digit...