[Solved] CS1400 Home work 1

1. 1.1. 515.0625₍₁₀₎ ? ₍₁₆₎;

? _(2);

? _(2/10).

? _(8);

Hint: Convert the decimal number first to binary, from binary it is easy to convert to octal and hexadecimal by spiting the binary number into 3-bit or 4-bit groups.

1.2. 776.1₍₈₎ ? ₍₁₆₎;

? ₍₃₎;

? _(2/10);

Hint: First convert the octal number to binary, from binary to hexadecimal and decimal, from decimal to base 3.

1.3. 1001010110.00100101 _(2/10) ? ₍₁₆₎;

? ₍₈₎.

Hint: First convert the binary-decimal number to decimal, after that to binary. From binary to octal and hexadecimal is a piece of lemon cake.

2. Binary Arithmetic

Calculate the following arithmetic operations

2.1. Addition 11100001 + 11100011 + 1111111 + 0011111;

01111010+10101111 + 0011111

• Multiplication 1100011 *1011

1010100*0111

• Division 1100101/1001

10000111/1101

• Subtraction 1000111 1111 1011

10101010- 01011111

Remark: All numbers are binary.

3. Fill In

Fill in using scientific notation:

1 Gbyte( giga) memory is (recall the not-SI measures for memory)

1 GHz(giga) is .

1 KHz(kilo) is .

5 Ti(tebi) is .

1 Mi (mebi) is .

1 psec(pico) is .

1 msec (micro) is .

1 nsec(nano) is .

1 msec (mili) is .

Hint: Hz is Hertz dimension for frequency, sec is seconds.