Exam 4: Numeration Systems

Convert the binary number to hexadecimal. (The subscript is omitted since it's understoodthat the number is binary.) 10011001001 A) $2311_{\text {sixteen }}$ B) $5 \mathrm{DA}_{\text {sixteen }}$ C) $4 \mathrm{C} 9$ sixteen D) $1611_{\text {sixteen }}$

Write CDIX in the Hindu-Arabic system.

Determine the place value of the digit 5 in the number 5,462,937.

Convert the number to base 10 , then change to base eight. $\mathrm{B89}_ \text { thirteen }$ A) $249=371_{\text {eight }}$ B) $1972 = 3664_{\text {eight }}$ C) $1972 = 2631 _ { \text {eight } }$ D) $249 = 306$ eight

$\text {Subtract.}$ A) B) C) D)

Write 23 in base five. A) $203 _ { \text {five } }$ B) $43 _ { \text {five } }$ C) 77 five D) $53 _ { \text {five } }$

$\text {Multiply.}$ 1 \times2 A) $65 \mathrm {~B} 3 _ { \text {twelve } }$ B) $7 \mathrm {~A} 93 _ { \text {twelve } }$ C) $2 B 43 _ { \text {twelve } }$ D) $54 \mathrm {~A} 3 _ { \text {twelve } }$

Multiply. D951 \times11 A) $1 \mathrm {~A} 9 \mathrm { C } 03 _ { \text {sixteen } }$ B) 1743875 sixteen C) $\mathrm { F } 3 \mathrm {~A} 1 \mathrm { CF } _ { \text {sixteen } }$ D) 15966671 sixteen

Use the Egyptian algorithm to multiply. 7 × 33 A) 1 33 2 66 4 99 33+66+99=198 B) 1 33 2 66 3 99 4 132 99+132=231 C) 1 33 2 66 4 132 33+66+132=231 D) 1 33 2 66 3 132 4 264 132+264=396

Use the Russian peasant method to multiply. 34 × 149 A) 34 149 17 298 8 447 4 596 2 745 1 894 $298+894=1192$ B) 34 149 17 298 8 596 4 1192 2 2384 1 4768 $298+4768=5066$ C) 1 149 2 298 4 447 8 596 16 745 32 894 $298+894=1192$ D) 1 149 2 298 4 596 8 1192 16 2384 32 4768 $298+4768=5066$

Write the number in the Hindu-Arabic system.

Use a set of Napier's bones to multiply. $9 \times 699$ A) $2,698$ B) $1,698$ C) $5,291$ D) $6,291$

$\text { Write the number in the Hindu-Arabic system. }$

Use the Russian peasant method to multiply. $7 \times 112$ A) 1 112 2 224 4 448 $112+224+448=784$ B) 7 112 3 224 1 448 $112 + 224 + 448 = 784$ C) 1 112 2 224 4 336 $112+224+336=672$ D) 7 112 3 224 1 336 $112+224+336=672$

Write the number in the Hindu-Arabic system.

Use the Egyptian algorithm to multiply. 34 × 103 A) 1 103 2 206 3 412 4 824 5 1648 6 3296 7 6592 8 13,184 $103 + 412 + 824 + 1648 + 3296 + 6592 + 13,184 = 26,059$ B) 1 103 2 206 4 412 8 824 16 1648 32 3296 $206 + 3296 = 3502$ C) 1 103 2 206 4 309 8 412 16 515 32 618 206 + 618 = 824 D) 1 103 2 206 3 309 4 412 5 515 6 618 7 721 8 824 103 + 309 + 412 + 515 + 618 + 721 + 824 = 3502

Write the number in the Hindu-Arabic system.

Write 7,950 in the Babylonian system.

Add. 471 +417